[tex]\displaystyle\bf\\a)~~\sqrt{\frac{~~27^{(3}}{12}}=\sqrt{\frac{9}{4}}=\frac{3}{2}\\\\\\b)~~\sqrt{\frac{~~18^{(2}}{32}}=\sqrt{\frac{9}{16}}=\frac{3}{4}\\\\\\c)~~\sqrt{\frac{~~45^{(5}}{20}}=\sqrt{\frac{9}{4}}=\frac{3}{2}\\\\\\d)~~\sqrt{\frac{~~75^{(3}}{108}}=\sqrt{\frac{25}{36}}=\frac{5}{6}\\\\\\e)~~\sqrt{\frac{~~96^{(6}}{294}}=\sqrt{\frac{16}{49}}=\frac{4}{7}\\\\\\f)~~\sqrt{\frac{~~175^{(7}}{567}}=\sqrt{\frac{25}{81}}=\frac{5}{9}[/tex]
